The MINI Mixed Virtual Element for the Stokes Equation

Computational Methods in Applied Mathematics 2026 Open access

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Authors: Silvia Bertoluzza, Fabio Credali, Daniele Prada
DOI: 10.1515/cmam-2025-0045
Cited by: 0
References: 63

Abstract

Abstract We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove optimal error estimates for both velocity and pressure. Theoretical results are confirmed by several numerical tests performed with different choices of polynomial accuracy and meshes.

Fields of Study & Subjects

Advanced Numerical Methods in Computational Mathematics Computational Fluid Dynamics and Aerodynamics Lattice Boltzmann Simulation Studies

Publication details

Journal / source
Computational Methods in Applied Mathematics
Publisher
Walter de Gruyter GmbH
Volume
26
Issue
3
Pages
541–572
Publication date
25 June 2026
Language
EN